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Finding the Fourth Proportional to 345,582.51, 518,296 and 123,966.51

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Solution

The fourth proportional to 345,582.51, 518,296 and 123,966.51 is: 185,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,582.51 : 518,296 = 123,966.51 : x
  2. Step 2: Convert to fraction form
    345,582.51/518,296 = 123,966.51/x
  3. Step 3: Cross multiply
    345,582.51x = 518,296 × 123,966.51
  4. Step 4: Simplify right side
    345,582.51x = 64,251,346,266.96
  5. Step 5: Solve for x
    x = 64,251,346,266.96/345,582.51
  6. Step 6: Final answer
    x = 185,921.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.